24 citations · 128 across the 21 of their papers we have counts for
21 papers
On realisations of the Steenrod algebras
Alexei Lebedev, Dimitry Leites
The Steenrod algebra can not be realised as an enveloping of any Lie superalgebra. We list several problems that suggest a need to modify the definition of the enveloping algebra,…
Depth analysis of variational quantum algorithms for heat equation
N. M. Guseynov, A. A. Zhukov, W. V. Pogosov +1
Variational quantum algorithms are a promising tool for solving partial differential equations. The standard approach for its numerical solution are finite difference schemes, whic…
The Dzhumadildaev brackets: a hidden supersymmetry of commutators and the Amitsur-Levitzki--type identities
Alexei Lebedev, Dimitry Leites
The Amitsur--Levitzki identity for matrices was generalized in several directions: by Kostant for simple finite-dimensional Lie algebras, by Kirillov (later joined by Kontsevich, M…
On -algebras associated to transfer operators for countable-to-one maps
K. Bardadyn, B. K. Kwasniewski, A. V. Lebedev
Our initial data is a transfer operator for a continuous, countable-to-one map defined on an open subset of a locally compact Hausdorff space . Then may be id…
Analysis of relationships between spectral potential of transfer operators, -entropy, entropy and topological pressure
V. I. Bakhtin, A. V. Lebedev
The paper is devoted to the analysis of relationships between principal objects of the spectral theory of dynamical systems (transfer and weighted shift operators) and basic charac…
Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2
Andrey Krutov, Alexei Lebedev, Dimitry Leites +1
As is well-known, the dimension of the space spanned by the non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgeb…